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A Circuit System Realizing the Properties of Exponential Chaotic System

A chaotic system and circuit system technology, applied in the field of circuit systems, can solve the problems of complex circuits, low precision, and few chaotic systems in the index of chaotic systems, and achieve the effect of rich dynamic characteristics and simple structure

Active Publication Date: 2021-04-30
HANGZHOU DIANZI UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0005] At present, there are relatively few studies on chaotic systems with natural exponents, and the reported x 、e y and e xy The exponential implementation circuit of the chaotic system is relatively complex and the precision is not high

Method used

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  • A Circuit System Realizing the Properties of Exponential Chaotic System
  • A Circuit System Realizing the Properties of Exponential Chaotic System
  • A Circuit System Realizing the Properties of Exponential Chaotic System

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Embodiment Construction

[0019] The preferred embodiments of the present invention will be described in detail below in conjunction with the accompanying drawings.

[0020] The theoretical starting point of the present invention is to add a term to get the mathematical expression of the new exponential chaotic system:

[0021]

[0022] Among them, x, y, z are dimensionless state variables of the system, and a, b, c are coefficients.

[0023] Such as figure 1 As shown, the exponential chaotic analog equivalent circuit of this example includes an integrated operational amplifier chip U1, an integrated operational amplifier chip U2, a multiplier U3, a multiplier U4, a multiplier U5 and a transistor S9013. The variables 10y and y pass through the multiplier U3 to get y 2 ,y 2 Obtained by the transistor and the operational amplifier 1 in the integrated operational amplifier chip U2 The variables x and z pass through the multiplier U4 to get 0.1xz, the variables x and -y pass through the multiplie...

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Abstract

The invention discloses a circuit model for realizing the characteristics of an exponential chaotic system. Integrated operational amplifier U1 among the present invention is used for realizing inverse proportional operation, obtains- y term and 10y term. y with 10 y term through multiplier U3 to get y 2 , and then through the exponential operation circuit composed of the transistor and the operational amplifiers 1 and 4 in the integrated operational amplifier U2 chip, the reverse summation operation and the integral operation circuit to obtain x item; will x item with z term is added to multiplier U4, and the 0.1 output of multiplier U4 xz item and ‑ y The term is added to the operational amplifier 2 in the integrated operational amplifier U2, and is obtained by the reverse summation operation and the integral operation circuit y item; will x and- y term is added to multiplier U5, and the ‑0.1 output of multiplier U5 xy item with z The term is added to the operational amplifier 3 in the integrated operational amplifier U2, and is obtained by reverse summation and integral operation z item. The invention is used for the circuit design, experiment and application of the chaotic system.

Description

technical field [0001] The invention belongs to the technical field of circuit design, relates to a chaotic system model in exponential form, and specifically relates to a circuit system with physical realizability and rich dynamic characteristics. Background technique [0002] The discovery of the phenomenon of chaos is called the third revolution in physics, which changes the saying that there is a dividing line between determinism and randomness. The chaotic system has the characteristics of extreme sensitivity to initial value conditions, aperiodicity, and unpredictability. The chaotic signal generated by the chaotic system has continuous wide spectrum and random-like characteristics, and can generate pseudo-random sequences with excellent performance. Therefore, it can be widely used It is used in the fields of confidential communication and the like. [0003] In secure communication, the security of information depends on the complexity of the chaotic signal, and the ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 王晓媛俞军闵小涛张雪
Owner HANGZHOU DIANZI UNIV
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